Some monotonicity results on the zeros of the generalized Laguerre polynomials

DOI10.1016/S0377-0427(02)00588-5zbMath1016.33005OpenAlexW2090913229MaRDI QIDQ1874172

Biagio Palumbo, Pierpaolo Natalini

Publication date: 22 May 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00588-5

zbMATH Keywords

monotonicityorthogonal polynomialszerosLaguerre polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (6)

A survey on Markov's theorem on zeros of orthogonal polynomials ⋮ Monotonicity of zeros of Jacobi polynomials ⋮ Multiple monotonicity of discrete distributions: the case of the Poisson model ⋮ On Markov's theorem on zeros of orthogonal polynomials revisited ⋮ Differential inequalities of functions involving the lowest zero of some associated orthogonalq-polynomials ⋮ Monotonicity of zeros of Laguerre polynomials

Cites Work

• On the behaviour of zeros of Jacobi polynomials
• Monotonicity properties of the zeros of ultraspherical polynomials
• On a conjecture concerning monotonocity of zeros of ultraspherical polynomials
• Inequalities and Numerical Bounds for Zeros of Ultraspherical Polynomials
• A Monotonic Property for the Zeros of Ultraspherical Polynomials
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